Edexcel S3 — Question 4

Exam BoardEdexcel
ModuleS3 (Statistics 3)
TopicChi-squared distribution

4. Breakdowns on a certain stretch of motorway were recorded each day for 80 consecutive days. The results are summarised in the table below.
Number of
breakdowns
012\(> 2\)
Frequency3832100
It is suggested that the number of breakdowns per day can be modelled by a Poisson distribution. Using a \(5 \%\) level of significance, test whether or not the Poisson distribution is a suitable model for these data. State your hypotheses clearly.
(13 marks)